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Finding the Third Proportional to 227,032 and 481,737

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Solution

The third proportional to 227,032 and 481,737 is: 1,022,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,032 : 481,737 = 481,737 : x
  2. Step 2: Convert to fraction form
    227,032/481,737 = 481,737/x
  3. Step 3: Cross multiply
    227,032x = 481,737 × 481,737
  4. Step 4: Simplify right side
    227,032x = 232,070,537,169
  5. Step 5: Solve for x
    x = 232,070,537,169/227,032
  6. Step 6: Final answer
    x = 1,022,193.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.